Smarandache's Books

Introduction to Neutrosophic Statistics

By: Florentin Smarandache

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Introduction to Neutrosophic Statistics

By: Florentin Smarandache

Neutrosophic Statistics means statistical analysis of population or sample that has indeterminate (imprecise, ambiguous, vague, incomplete, unknown) data. For example, the population or sample size might not be exactly determinate because of some individuals that partially belong to the population or sample, and partially they do not belong, or individuals whose appurtenance is completely unknown. Also, there are population or sample individuals whose data could be indeterminate. In this book, we develop the 1995 notion of neutrosophic statistics. We present various practical examples. It is possible to define the neutrosophic statistics in many ways, because there are various types of indeterminacies, depending on the problem to solve.

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Page Count

125

Publisher

Infinite Study

Published Date

ISBN 10

1599732742

ISBN 13

9781599732749

Sequences of Numbers Involved in Unsolved Problems

By: Florentin Smarandache

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Sequences of Numbers Involved in Unsolved Problems

By: Florentin Smarandache

Over 300 sequences and many unsolved problems and conjectures related to them are presented herein. The book contains definitions, unsolved problems, questions, theorems corollaries, formulae, conjectures, examples, mathematical criteria, etc. ( on integer sequences, numbers, quotients, residues, exponents, sieves, pseudo-primes/squares/cubes/factorials, almost primes, mobile periodicals, functions, tables, prime/square/factorial bases, generalized factorials, generalized palindromes, etc. ).

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Page Count

141

Publisher

Infinite Study

Published Date

ISBN 10

1599730065

ISBN 13

9781599730066

A journey to Jeddah and Medina

photos of Saudi Arabia

By: Florentin Smarandache

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A journey to Jeddah and Medina

photos of Saudi Arabia

By: Florentin Smarandache

The present album is a collection of photos from my travel to Saudi Arabia in the cities of Jeddah and Medina, in December 2018. The trip was occasioned by the invitation of King Abdulaziz University in Jeddah to deliver a presentation at the seminar "History of Neutrophic Set and Logic and their Applications", regarding the evolution and development of neutrosophic set, logic, probability and statistics.

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Page Count

100

Publisher

Infinite Study

ISBN 10

159973592X

ISBN 13

9781599735924

Various Arithmetic Functions and their Applications

By: Octavian Cira ,Florentin Smarandache

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Various Arithmetic Functions and their Applications

By: Octavian Cira ,Florentin Smarandache

Over 300 sequences and many unsolved problems and conjectures related to them are presented herein. These notions, definitions, unsolved problems, questions, theorems corollaries, formulae, conjectures, examples, mathematical criteria, etc. on integer sequences, numbers, quotients, residues, exponents, sieves, pseudo-primes squares cubes factorials, almost primes, mobile periodicals, functions, tables, prime square factorial bases, generalized factorials, generalized palindromes, so on, have been extracted from the Archives of American Mathematics (University of Texas at Austin) and Arizona State University (Tempe): "The Florentin Smarandache papers" special collections, and Arhivele Statului (Filiala Vâlcea & Filiala Dolj, Romania). This book was born from the collaboration of the two authors, which started in 2013. The first common work was the volume "Solving Diophantine Equations", published in 2014. The contribution of the authors can be summarized as follows: Florentin Smarandache came with his extraordinary ability to propose new areas of study in number theory, and Octavian Cira - with his algorithmic thinking and knowledge of Mathcad.

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Page Count

402

Publisher

Infinite Study

Published Date

ISBN 10

1599733722

ISBN 13

9781599733722

Law of Included Multiple-Middle & Principle of Dynamic Neutrosophic Opposition

By: Florentin Smarandache

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Law of Included Multiple-Middle & Principle of Dynamic Neutrosophic Opposition

By: Florentin Smarandache

In this book the author pledges for the generalization of the Lupasco-Nicolescu’s Law of Included Middle [, , and a third value which resolves their contradiction at another level of reality] to the Law of Included Multiple-Middle [, , and , where is split into a multitude of neutralities between and , such as , , etc.]. The value (i.e. neutrality or indeterminacy related to ) actually comprises the included middle value. Further, similarly to the extension from dialectics to neutrosophy, the author extends the Principle of Dynamic Opposition [opposition between and ] to the Principle of Dynamic Neutrosophic Opposition [which means oppositions among , , and ]. Explanation: The following dialogues are a compilation of different dialogues I had – during the years – on neutrosophy and related topics with academic colleagues, mostly by email. As they were non-protocol dialogues, initially not intended for publication, I invented a fictional character (somehow resurrected from Plato’s dialogues), Filokratos, and put in his mouth opinions, ideas, questions, comments expressed by academic fellows, in a collective spirit. Many thanks to all friends and dialogue partners who paid attention to neutrosophy and connected areas.

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Page Count

136

Publisher

Infinite Study

Published Date

ISBN 10

159973303X

ISBN 13

9781599733036

Subset Vertex Multigraphs and Neutrosophic Multigraphs for Social Multi Networks

By: W. B. Vasantha Kandasamy,Ilanthenral K,Florentin Smarandache

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Subset Vertex Multigraphs and Neutrosophic Multigraphs for Social Multi Networks

By: W. B. Vasantha Kandasamy,Ilanthenral K,Florentin Smarandache

In this book authors introduce the notion of subset vertex multigraphs for the first time. The study of subset vertex graphs was introduced in 2018, however they are not multiedged, further they were unique once the vertex subsets are given. These subset vertex multigraphs are also unique once the vertex subsets are given and the added advantage is that the number of common elements between two vertex subsets accounts for the number of edges between them, when there is no common element there is no edge between them.

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Page Count

296

Publisher

Infinite Study

Published Date

ISBN 10

1599736020

ISBN 13

9781599736020

Evoluție Neutrosofică Umană în Spirală sau Divinul este în Om / Human Neutrosophic Evolution in Spiral or The Divine is in the Man

By: Florentin Smarandache,Andrușa R. Vătuiu

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Evoluție Neutrosofică Umană în Spirală sau Divinul este în Om / Human Neutrosophic Evolution in Spiral or The Divine is in the Man

By: Florentin Smarandache,Andrușa R. Vătuiu

The future can only be the Spiral Neutrosophic Evolution: - from inferior () to superior () [evolution], - and back [involution] to an inferior and superior melange (), - and over time we encounter stagnation (no evolution, no involution) or uncertainty (if it is evolution or involution) [indetermination] ... and so on, in a spiral. Therefore: evolution / involution / indetermination at a level; followed by another similar cycle: evolution / involution / indetermination but to another level, superior ... and so, spirally, to infinity.

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Page Count

268

Publisher

Infinite Study

ISBN 10

1599736004

ISBN 13

9781599736006

Topical Communication Uncertainties

By: Stefan Vladutescu, Florentin Smarandache, Daniela Gifu, Alina Tenescu

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Topical Communication Uncertainties

By: Stefan Vladutescu, Florentin Smarandache, Daniela Gifu, Alina Tenescu

Communication is the main way of defusing uncertainties. Unfortunately, communication discipline itself is mined by uncertainties. We can talk about onto-epistemological uncertainties and pragmatic uncertainties of communication, about theoretical and practical uncertainties, and about primary and secondary uncertainties of communication. Uncertainties regarding the object of communication as autonomous discipline, the research methods of communication, the sources, paradigms and models of communication represent theoretical, onto-epistemological uncertainties. Pragmatic uncertainties include uncertainties in communication processes; they have a practical character. Pragmatic uncertainties are those that lead to communication failure and they consist in minor obstacles or insurmountable barriers in concrete communication. (Florentin Smarandache & Stefan Vladutescu) *** The book has 16 chapters written by the following authors and co-authors from USA, England, Poland, Slovakia, and Romania: Florentin Smarandache, Stefan Vladutescu, Mirela Teodorescu, Dan S. Stoica, Daniela Gifu, Calin Andrei, Ioan Constantin Dima, Mariana Man, Janusz Grabara, Paula Bajdor, Jim O'Brien, Andrzej Rabsztyn, Anabella-Maria Tarnovan, Adrian Nicolescu, Alina Tenescu, Nicusor Minculete, Vladimir Modrak, Sorin Mihai Radu, Alice Ionescu, Anca Diana Bibiri, Lucian Sacalean, Mircea Munteanu, Roxana Criu, Bogdan Constantin Neculau, Marin Dramnescu, MihaelaGabriela Paun, and Loredana Speriatu.

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Page Count

302

Publisher

Infinite Study

Published Date

ISBN 10

6061142250

ISBN 13

9786061142255

Algebraic Structures on MOD Planes

By: W. B. Vasantha Kandasamy,K. Ilanthenral,Florentin Smarandache

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Algebraic Structures on MOD Planes

By: W. B. Vasantha Kandasamy,K. Ilanthenral,Florentin Smarandache

Study of MOD planes happens to a very recent one. In this book, systematically algebraic structures on MOD planes like, MOD semigroups, MOD groups and MOD rings of different types are defined and studied. Such study is innovative for a large four quadrant planes are made into a small MOD planes. Several distinct features enjoyed by these MOD planes are defined, developed and described.

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Page Count

215

Publisher

Infinite Study

Published Date

ISBN 10

1599733676

ISBN 13

9781599733678

Outer-Art, Album of experimentation in paintings, drawings, drafts, computer design, collages, photos. Vol. I

Experimentation in Paintings, Drawings, Drafts, Computer Design, Collages, Photos

By: Florentin Smarandache

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Outer-Art, Album of experimentation in paintings, drawings, drafts, computer design, collages, photos. Vol. I

Experimentation in Paintings, Drawings, Drafts, Computer Design, Collages, Photos

By: Florentin Smarandache

oUTER-aRT is a movement set up by Florentin Smarandachein 1990's (as a protest against random modern art, where anything could mean... art!) and consists in making art as ugly as possible, as wrong as possible, or as silly as possible, and generally as impossible as possible!It is an upside-down art!... to do art in the way it is not supposed to be done...Manifestos and anti-manifestos, essays, interviews, together with a printed oUTER-aRT Gallery are to be found in this (outer-)album of (outer-)painting, (outer-)drawings, (outer-)collages, (outer-)photos.He used computer programs and mathematical algorithms to design some of them.

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Page Count

135

Publisher

Infinite Study

Published Date

ISBN 10

9738102006

ISBN 13

9789738102002

NEUTROSOPHIC TRIPLET STRUCTURES, Volume I

By: Florentin Smarandache,Memet Şahin

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NEUTROSOPHIC TRIPLET STRUCTURES, Volume I

By: Florentin Smarandache,Memet Şahin

Neutrosophic theory and its applications have been expanding in all directions at an astonishing rate especially after of the introduction the journal entitled “Neutrosophic Sets and Systems”. New theories, techniques, algorithms have been rapidly developed. One of the most striking trends in the neutrosophic theory is the hybridization of neutrosophic set with other potential sets such as rough set, bipolar set, soft set, hesitant fuzzy set, etc. The different hybrid structures such as rough neutrosophic set, single valued neutrosophic rough set, bipolar neutrosophic set, single valued neutrosophic hesitant fuzzy set, etc. are proposed in the literature in a short period of time. Neutrosophic set has been an important tool in the application of various areas such as data mining, decision making, e-learning, engineering, medicine, social science, and some more.

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Page Count

199

Publisher

Infinite Study

Published Date

ISBN 10

1599735954

ISBN 13

9781599735955

Unification of Art Theories (UAT)

Composed, Found, Changed, Modified, Altered, Graffiti, Polyvalent Art

By: Florentin Smarandache

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Unification of Art Theories (UAT)

Composed, Found, Changed, Modified, Altered, Graffiti, Polyvalent Art

By: Florentin Smarandache

Unification of Art Theories (UAT), proposed by the author, considers that every artist should employ - in producing an artwork ¿ ideas, theories, styles, techniques and procedures of making art barrowed from various artists, teachers, schools of art, movements throughout history, but combined with new ones invented, or adopted from any knowledge field (science in special, literature, etc.), by the artist himself.The artist can use a multi-structure and multi-space. The distinction between Eclecticism and Unification of Art Theories (UAT) is that Eclecticism supposed to select among the previous schools and teachers and procedures - while UAT requires not only selecting but also to invent, or adopt from other (non-artistic) fields, new procedures. In this way UAT pushes forward the art development. Also, UAT has now a larger artistic database to choose from, than the 16-th century Eclecticism, since new movements, art schools, styles, ideas, procedures of making art have been accumulated in the main time. Like a guide, UAT database should periodically be updated, changed, enlarged with new invented or adopted-from-any-field ideas, styles, art schools, movements, experimentation techniques, artists. It is an open increasing essay to include everything that has been done throughout history. This album presents a short panorama of commented art theories, together with experimental digital images using adopted techniques from various fields, in order to inspire the actual artists to choose from, and also to invent or adopt new procedures in producing their artworks.

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Page Count

140

Publisher

Infinite Study

Published Date

ISBN 10

1599730243

ISBN 13

9781599730240

Book's by Smarandache

Introduction to Neutrosophic Statistics

Introduction to Neutrosophic Statistics

Sequences of Numbers Involved in Unsolved Problems

Sequences of Numbers Involved in Unsolved Problems

A journey to Jeddah and Medina

A journey to Jeddah and Medina

Various Arithmetic Functions and their Applications

Various Arithmetic Functions and their Applications

Law of Included Multiple-Middle & Principle of Dynamic Neutrosophic Opposition

Law of Included Multiple-Middle & Principle of Dynamic Neutrosophic Opposition

Subset Vertex Multigraphs and Neutrosophic Multigraphs for Social Multi Networks

Subset Vertex Multigraphs and Neutrosophic Multigraphs for Social Multi Networks

Evoluție Neutrosofică Umană în Spirală sau Divinul este în Om / Human Neutrosophic Evolution in Spiral or The Divine is in the Man

Evoluție Neutrosofică Umană în Spirală sau Divinul este în Om / Human Neutrosophic Evolution in Spiral or The Divine is in the Man

Topical Communication Uncertainties

Topical Communication Uncertainties

Algebraic Structures on MOD Planes

Algebraic Structures on MOD Planes

Outer-Art, Album of experimentation in paintings, drawings, drafts, computer design, collages, photos. Vol. I

Outer-Art, Album of experimentation in paintings, drawings, drafts, computer design, collages, photos. Vol. I

NEUTROSOPHIC TRIPLET STRUCTURES, Volume I

NEUTROSOPHIC TRIPLET STRUCTURES, Volume I

Unification of Art Theories (UAT)

Unification of Art Theories (UAT)

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